Analysis of ill-posedness and numerical methods of solving a nonlinear inverse problem in pharmacokinetics for the two-compartmental model with extravascular drug administration

A. I. Ilyin, Sergey Igorevich Kabanikhin, Daniyar Nurseitov, A. T. Nurseitova, N. A. Asmanova, D. A. Voronov, Daulet Bakytov

2012

Closed access Metadata (CSL-JSON)

DOI 10.1515/jip-2012-0202

Data confidence 70 medium

How this score is calculated

It is built from checkable properties of the record itself: whether the article has a DOI, how many independent sources confirmed its data, whether the required fields are filled in, and how recent the latest confirmation is. Disagreement between sources and a missing identifier lower it. A value of 80 or above means the record was published without further checking; 60 to 79 means it is published at reduced confidence, with a manual check advisable. A record verified by an editor by hand is never pushed below 90 by a recalculation. This scores our data about the article, not the article itself.

Abstract

Abstract. A nonlinear inverse problem of pharmacokinetics for the dual-compartment model with extravascular route of the drug administration is considered. The problem is significantly ill-posed: its solution is not unique and is unstable. We discuss nonuniqueness of the inverse problem and the degree of ill-posedness. The initial problem is reduced to a linear operator equation by linearization. It is demonstrated that the resolving ability of the inverse problem can be improved by varying of the location of measurement data points. Results of numerical experiments are presented. The question of choosing the initial approximations is considered.